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412013450464 = 25711533154967
BaseRepresentation
bin1011111111011011110…
…10100101010011100000
31110101110220222212220121
411333231322211103200
523222300420403324
6513135410050024
741524035354640
oct5775572452340
91411426885817
10412013450464
11149808940560
1267a26579914
132cb11502105
1415d278c2520
15aab64245e4
hex5fedea54e0

412013450464 has 96 divisors (see below), whose sum is σ = 1030387309056. Its totient is φ = 157495902720.

The previous prime is 412013450323. The next prime is 412013450483. The reversal of 412013450464 is 464054310214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446892 + ... + 1708075.

It is an arithmetic number, because the mean of its divisors is an integer number (10733201136).

Almost surely, 2412013450464 is an apocalyptic number.

412013450464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412013450464 is an abundant number, since it is smaller than the sum of its proper divisors (618373858592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412013450464 is a wasteful number, since it uses less digits than its factorization.

412013450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155048 (or 3155040 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 412013450464 its reverse (464054310214), we get a palindrome (876067760678).

The spelling of 412013450464 in words is "four hundred twelve billion, thirteen million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 848 1166 1232 1484 1696 2332 2464 2968 4081 4664 5936 8162 9328 11872 16324 18656 32648 65296 130592 3154967 6309934 12619868 22084769 25239736 34704637 44169538 50479472 69409274 88339076 100958944 138818548 167213251 176678152 242932459 277637096 334426502 353356304 485864918 555274192 668853004 706712608 971729836 1110548384 1170492757 1337706008 1839345761 1943459672 2340985514 2675412016 3678691522 3886919344 4681971028 5350824032 7357383044 7773838688 9363942056 12875420327 14714766088 18727884112 25750840654 29429532176 37455768224 51501681308 58859064352 103003362616 206006725232 412013450464